Fractional Hamiltonian Monodromy from a Gauss-Manin Monodromy
Mathematical Physics
2009-11-13 v1 math.MP
Abstract
Fractional Hamiltonian Monodromy is a generalization of the notion of Hamiltonian Monodromy, recently introduced by N. N. Nekhoroshev, D. A. Sadovskii and B. I. Zhilinskii for energy-momentum maps whose image has a particular type of non-isolated singularities. In this paper, we analyze the notion of Fractional Hamiltonian Monodromy in terms of the Gauss-Manin Monodromy of a Riemann surface constructed from the energy-momentum map and associated to a loop in complex space which bypasses the line of singularities. We also prove some propositions on Fractional Hamiltonian Monodromy for 1:-n and m:-n resonant systems.
Keywords
Cite
@article{arxiv.0709.2765,
title = {Fractional Hamiltonian Monodromy from a Gauss-Manin Monodromy},
author = {D. Sugny and P. Mardesic and M. Pelletier and A. Jebrane and H. R. Jauslin},
journal= {arXiv preprint arXiv:0709.2765},
year = {2009}
}
Comments
39 pages, 24 figures. submitted to J. Math. Phys